Arylpentazoles
J . Org. Chem., Vol. 67, No. 4, 2002 1357
for 1 and other pentazole derivatives at the B3LYP/6-
3
Ta ble 2. Ca lcu la ted F r ee En er gy of Activa tion for
Selected P en ta zole Der iva tives a n d P r ed icted Sta bility
in Meth a n ola
11++G(2d,p) level of theory.23
Ozon olysis of 4-Oxop h en ylp en ta zole. The experi-
calculatedb
predicteda
1
5
ment was performed on an NMR scale sample of N-
1
5
‡
‡
4
labeled 4-oxophenylpentazole salt 2b- N-NBu
4
, in CD
2
-
∆G 298,
∆G 298,
k‚10 at 0 °C,
1
-
Cl at -78 °C in the presence of excess NBu OH. After 3
2
4
compound
[kcal/mol]
[kcal/mol]
[s ]
min of passing ozone/air mixture through the solution,
the 1H NMR spectrum showed a virtually unaltered
pattern, characteristic for 1,4-disubstituted benzenes, but
considerably shifted, relative to the signals of the starting
4-(-)SC H N (2g)
21.43
25.25
17.95
14.90
20.65
22.42
19.04
17.63
0.77
0.036
12.4
142.0
6
4
5
N5(-) (1)
N5H
1
-NH2N5
1
5
15
a
Predictions made based on correlations in Figure 2. b At the
2
b- N-NBu
4
.
N NMR, however, clearly showed the
B3LYP/6-31+G(d,p) level of theory.
complete absence of the two initial signals assigned to
the pentazole moiety (Figure 3). In fact, there were no
signals detected at all, indicating that no compound with
labeled nitrogen remained in the solution. The latter
result, combined with the possible distribution of labeled
nitrogen in the pentazole unit, led to the conclusion that
the remaining material contained most likely only the
nitrogen directly bound to the aromatic ring. The nature
of this new aromatic product remains unclear. By com-
parison with authentic samples, we excluded 4-nitrophen-
ol or its anion as possible products.
5
parent hydrogen pentazole, HN , is predicted to be as
stable as 4-chlorophenylpentazole (2c), while 1-amino-
1
pentazole has a predicted half-lifetime t1/2 of less than 1
min at 0 °C.
3
The results from ozonolysis of 2b suggest that O reacts
much faster with pentazole than with the benzene ring,
which eliminates this method from possible routes to 1.
Other precursors need to be considered, especially those
that lead to the N -COO(-), silicon or sulfur derivatives
5
of 1. This approach hinges, however, upon the ability to
construct a linear or cyclic array of nitrogen atoms by
methods such as those shown in Figure 1.
Discu ssion a n d Con clu sion s
‡
‡
The calculated activation energies ∆G (but not ∆H )
for arylpentazoles show excellent correlation with ex-
perimental data (Figure 2), which validates the compu-
tational results. The significant difference between the
observed and theoretical values is presumably largely due
to the difference between the gas phase and the polar
and protic environment of methanol. The slope of 0.462
Com p u ta tion a l Deta ils
Quantum-mechanical calculations were carried out at
25
the B3LYP/6-31+G(d,p) level of theory using the Linda-
26
Gaussian 98 package on a Beowulf cluster of 16 proces-
sors. Geometry optimizations were undertaken using
appropriate symmetry constraints and default conver-
gence limits. Transition structures were located using the
QST2 keyword. Vibrational frequencies were used to
characterize the nature of the stationary points and to
‡
‡
for the ∆G (calcd)/∆G (exptl) correlation in Figure 2 and
the ratio of Fexptl/Fcalcd ) 0.44 suggest that arylpentazoles
are generally stabilized in methanol solution relative to
gas phase except for those with strongly electron-donat-
ing substituents. This is consistent with the calculated
polarity of the ground and transition structures 2. Thus,
polarity of the ground state increases for derivatives with
substituent of increasing electron-donating ability (e.g.,
obtain thermodynamic parameters. Zero-point energy
27
(ZPE) corrections were scaled by 0.9806.
Nuclear magnetic shielding tensors were calulated for
molecules at ground-state geometry using the NMR
keyword and the default GIAO method at the B3LYP/6-
2
f: µGS ) 0.35 D and 2a : µGS ) 6.16 D). Also the
transition state is more polar than the ground state for
derivatives with electron-withdrawing substituents and
less polar for derivatives with electron-donating substit-
3
1+G(d,p) level of theory. The resulting energies and
absolute shielding tensors are listed in the Supporting
Information.
uents (e.g., 2f: µTS - µGS ) +1.56 D and 2a : µTS - µGS
1.32 D). More experimental datapoints, especially for
electron-deficient derivatives such as 2e and 2f, would
be helpful to extend the correlation of free energies of
activation. It should be pointed out, however, that the
excellent correlation for lnk with the computed ∆G over
p
a broad range of σ values strongly suggests a cogency of
the free energy correlation in Figure 2.
)
-
Exp er im en ta l Section
1
H NMR spectra were recorded at 400 MHz and referenced
15
to the solvent. N NMR spectra were recorded at 40.56 MHz
in CD
doubly labeled NH4 NO ( NH δ -360.4, NO δ -4.00)
3 2
which was indirectly referenced to neat CH NO (δ ) 0.0
‡
15
2 2
Cl , and externally referenced to the N signals of
1
5
15
15
15
3
4
3
Assuming that the correlations in Figure 2 are general,
one can estimate the stability of other pentazole deriva-
tives and the parent pentazole 1. Some of the results are
shown in Table 2. Not surprisingly, 4-thiophenylpenta-
(
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zole anion (2g), with the very negative σ
p
value of -1.21,
Schlegel, G. E. Scuseria, M. A. Robb, J . R. Cheeseman, V. G.
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is expected to be more stable than the oxo anion 2b. Its
rate of decomposition in MeOH at 0 °C can be estimated
to be 1.2 times lower than that for 2b, the most stable
pentazole derivative known. The same correlations allow
estimation of the stability of pentazole anion 1 in
methanol solution, which is a likely medium for its
generation and study. Thus, the estimated half-lifetime
t
1/2 for 1 is about 2.2 days in methanol at 0 °C, which
offers encouragement for future experimental work. The